Prime p₀= 2310160736674130369 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 28 2 4 2 70 2 58 2 (?)
a_n: 0 2 12 14 42 44 72 74 78 80 150 152 210 212
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 212
Found by: FritzB
db: batch=81, k=14, 10 28 28 4 70 58

SPT(16)	2310158491264484207	0 12 54 86 102 116 146 152 174 180 210 224 240 272 314 326	-2245409646162
SPT(16)	2310158845360638763	0 18 24 54 66 186 214 270 274 330 358 478 490 520 526 544	-1891313491606
STPT(10)	2310158973094267637	0 2 24 26 42 44 60 62 84 86	-1763579862732
SPT(16)	2310159120380384849	0 30 42 102 104 122 140 144 170 174 192 210 212 272 284 314	-1616293745520
SPT(16)	2310159464675637899	0 30 32 42 74 80 104 114 158 168 192 198 230 240 242 272	-1271998492470
SPT(16)	2310159645359301479	0 14 18 42 72 128 132 134 168 170 174 230 260 284 288 302	-1091314828890
SPT(16)	2310161865993726847	0 40 64 70 112 124 180 190 204 214 270 282 324 330 354 394	1129319596478
STPT(10)	2310162113856129287	0 2 30 32 42 44 54 56 84 86	1377181998918
STPT(10)	2310162823888809287	0 2 30 32 72 74 114 116 144 146	2087214678918
TPT(14)	2310163088687714969	0 2 18 20 42 44 78 80 90 92 102 104 372 374	2352013584600
SPT(16)	2310163224825504677	0 44 56 72 126 180 182 210 326 354 356 410 464 480 492 536	2488151374308